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# If n and p are parallel in the figure above, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 55274
If n and p are parallel in the figure above, what is the value of x?  [#permalink]

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08 Aug 2017, 02:00
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Difficulty:

15% (low)

Question Stats:

92% (00:44) correct 8% (00:37) wrong based on 37 sessions

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If n and p are parallel in the figure above, what is the value of x?

(A) 60
(B) 90
(C) 100
(D) 120
(E) 150

Attachment:

2017-08-08_1259.png [ 12.1 KiB | Viewed 720 times ]

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Re: If n and p are parallel in the figure above, what is the value of x?  [#permalink]

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08 Aug 2017, 02:31

From the figure we can say that x+y = 180
This is because the sum of angles in a straight line is 180.
Since n || p , x also equals 2y(Corresponding angles)

Therefore, 3y = 180 => y = 60
Hence, the value of x which is 2y is 120 degree(Option D)
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Re: If n and p are parallel in the figure above, what is the value of x?  [#permalink]

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10 Aug 2017, 10:53
Bunuel wrote:

If n and p are parallel in the figure above, what is the value of x?

(A) 60
(B) 90
(C) 100
(D) 120
(E) 150

Attachment:
2017-08-08_1259.png

We can create the following two equations:

y + x = 180

and

2y = x

Thus, y + 2y = 180; so, y = 60 and x = 120.

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Re: If n and p are parallel in the figure above, what is the value of x?   [#permalink] 10 Aug 2017, 10:53
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